103749660 has 180 divisors, whose sum is σ = 378893592. Its totient is φ = 23696064.

The previous prime is 103749649. The next prime is 103749677. The reversal of 103749660 is 66947301.

103749660 is a `hidden beast` number, since 103 + 7 + 496 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78727 + ... + 80033.

Almost surely, 2^103749660 is an apocalyptic number.

103749660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103749660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189446796).

103749660 is an abundant number, since it is smaller than the sum of its proper divisors (275143932).

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

103749660 is a wasteful number, since it uses less digits than its factorization.

103749660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 103749660 is about 10185.7577037744. The cubic root of 103749660 is about 469.8893054538.

The spelling of 103749660 in words is "one hundred three million, seven hundred forty-nine thousand, six hundred sixty".