100153136832 has 504 divisors, whose sum is σ = 334541524464. Its totient is φ = 26343346176.

The previous prime is 100153136821. The next prime is 100153136939. The reversal of 100153136832 is 238631351001.

It is a junction number, because it is equal to n+sod(n) for n = 100153136793 and 100153136802.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125662258 + ... + 125663054.

It is an arithmetic number, because the mean of its divisors is an integer number (663772866).

Almost surely, 2^100153136832 is an apocalyptic number.

100153136832 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 100153136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270762232).

100153136832 is an abundant number, since it is smaller than the sum of its proper divisors (234388387632).

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

100153136832 is a wasteful number, since it uses less digits than its factorization.

100153136832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 100153136832 its reverse (238631351001), we get a palindrome (338784487833).

The spelling of 100153136832 in words is "one hundred billion, one hundred fifty-three million, one hundred thirty-six thousand, eight hundred thirty-two".