109900728 has 72 divisors (see below), whose sum is σ = 346254480. Its totient is φ = 31399200.

The previous prime is 109900727. The next prime is 109900729. The reversal of 109900728 is 827009901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109900727) and next prime (109900729).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 109900692 and 109900701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109900727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12048 + ... + 19103.

It is an arithmetic number, because the mean of its divisors is an integer number (4809090).

Almost surely, 2^109900728 is an apocalyptic number.

109900728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109900728 is an abundant number, since it is smaller than the sum of its proper divisors (236353752).

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

109900728 is a wasteful number, since it uses less digits than its factorization.

109900728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31177 (or 31163 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 109900728 is about 10483.3548065493. The cubic root of 109900728 is about 478.9978047996.

The spelling of 109900728 in words is "one hundred nine million, nine hundred thousand, seven hundred twenty-eight".