105000523541400 has 48 divisors (see below), whose sum is σ = 325501622980200. Its totient is φ = 28000139610880.

The previous prime is 105000523541369. The next prime is 105000523541581. The reversal of 105000523541400 is 4145325000501.

105000523541400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105000523541400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87500435685 + ... + 87500436884.

Almost surely, 2^{105000523541400} is an apocalyptic number.

105000523541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000523541400 is an abundant number, since it is smaller than the sum of its proper divisors (220501099438800).

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

105000523541400 is a wasteful number, since it uses less digits than its factorization.

105000523541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175000872588 (or 175000872579 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105000523541400 its reverse (4145325000501), we get a palindrome (109145848541901).

The spelling of 105000523541400 in words is "one hundred five trillion, five hundred twenty-three million, five hundred forty-one thousand, four hundred".