10400112 has 30 divisors (see below), whose sum is σ = 29106272. Its totient is φ = 3466656.

The previous prime is 10400077. The next prime is 10400123. The reversal of 10400112 is 21100401.

It is a happy number.

10400112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10400112² = 216324659225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10400094 and 10400103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35968 + ... + 36255.

Almost surely, 2^10400112 is an apocalyptic number.

10400112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400112 is an abundant number, since it is smaller than the sum of its proper divisors (18706160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400112 is a wasteful number, since it uses less digits than its factorization.

10400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72237 (or 72228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10400112 is about 3224.9204641355. The cubic root of 10400112 is about 218.2793601735.

Adding to 10400112 its reverse (21100401), we get a palindrome (31500513).

The spelling of 10400112 in words is "ten million, four hundred thousand, one hundred twelve".