109672152000 has 224 divisors, whose sum is σ = 364912314624. Its totient is φ = 29021824000.

The previous prime is 109672151993. The next prime is 109672152043. The reversal of 109672152000 is 251276901.

109672152000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×109672152000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3126559 + ... + 3161441.

Almost surely, 2^109672152000 is an apocalyptic number.

109672152000 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 109672152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182456157312).

109672152000 is an abundant number, since it is smaller than the sum of its proper divisors (255240162624).

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

109672152000 is a wasteful number, since it uses less digits than its factorization.

109672152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35044 (or 35024 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 109672152000 in words is "one hundred nine billion, six hundred seventy-two million, one hundred fifty-two thousand".