109735903872 has 512 divisors, whose sum is σ = 392071680000. Its totient is φ = 29516451840.

The previous prime is 109735903867. The next prime is 109735903919. The reversal of 109735903872 is 278309537901.

109735903872 is a `hidden beast` number, since 10 + 9 + 7 + 3 + 590 + 38 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83195629 + ... + 83196947.

It is an arithmetic number, because the mean of its divisors is an integer number (765765000).

Almost surely, 2^109735903872 is an apocalyptic number.

109735903872 is a gapful number since it is divisible by the number (12) 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 109735903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840000).

109735903872 is an abundant number, since it is smaller than the sum of its proper divisors (282335776128).

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

109735903872 is a wasteful number, since it uses less digits than its factorization.

109735903872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 109735903872 in words is "one hundred nine billion, seven hundred thirty-five million, nine hundred three thousand, eight hundred seventy-two".