109971628032 has 448 divisors, whose sum is σ = 366593347584. Its totient is φ = 28594667520.

The previous prime is 109971628007. The next prime is 109971628033. The reversal of 109971628032 is 230826179901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109971628033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90660258 + ... + 90661470.

Almost surely, 2^109971628032 is an apocalyptic number.

109971628032 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 109971628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183296673792).

109971628032 is an abundant number, since it is smaller than the sum of its proper divisors (256621719552).

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

109971628032 is a wasteful number, since it uses less digits than its factorization.

109971628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 109971628032 in words is "one hundred nine billion, nine hundred seventy-one million, six hundred twenty-eight thousand, thirty-two".