100256234363472 has 160 divisors (see below), whose sum is σ = 285688499765760. Its totient is φ = 30044036160000.

The previous prime is 100256234363459. The next prime is 100256234363501. The reversal of 100256234363472 is 274363432652001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14176347 + ... + 20036997.

It is an arithmetic number, because the mean of its divisors is an integer number (1785553123536).

Almost surely, 2^{100256234363472} is an apocalyptic number.

100256234363472 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 100256234363472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142844249882880).

100256234363472 is an abundant number, since it is smaller than the sum of its proper divisors (185432265402288).

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

100256234363472 is a wasteful number, since it uses less digits than its factorization.

100256234363472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861033 (or 5861027 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 100256234363472 in words is "one hundred trillion, two hundred fifty-six billion, two hundred thirty-four million, three hundred sixty-three thousand, four hundred seventy-two".