100888753152 has 352 divisors, whose sum is σ = 302408386560. Its totient is φ = 29641605120.

The previous prime is 100888753151. The next prime is 100888753169. The reversal of 100888753152 is 251357888001.

It is a tau number, because it is divible by the number of its divisors (352).

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 (100888753151) 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, 220762908 + ... + 220763364.

Almost surely, 2^100888753152 is an apocalyptic number.

100888753152 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 100888753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151204193280).

100888753152 is an abundant number, since it is smaller than the sum of its proper divisors (201519633408).

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

100888753152 is a wasteful number, since it uses less digits than its factorization.

100888753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 100888753152 in words is "one hundred billion, eight hundred eighty-eight million, seven hundred fifty-three thousand, one hundred fifty-two".