100396252581696 has 280 divisors, whose sum is σ = 299000066016960. Its totient is φ = 33308732971008.

The previous prime is 100396252581643. The next prime is 100396252581697. The reversal of 100396252581696 is 696185252693001.

100396252581696 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 9 + 6 + 2 + 525 + 8 + 16 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100396252581697) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5204835220 + ... + 5204854508.

It is an arithmetic number, because the mean of its divisors is an integer number (1067857378632).

Almost surely, 2^{100396252581696} is an apocalyptic number.

100396252581696 is a gapful number since it is divisible by the number (16) 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 100396252581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149500033008480).

100396252581696 is an abundant number, since it is smaller than the sum of its proper divisors (198603813435264).

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

100396252581696 is a wasteful number, since it uses less digits than its factorization.

100396252581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23963 (or 23944 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 100396252581696 in words is "one hundred trillion, three hundred ninety-six billion, two hundred fifty-two million, five hundred eighty-one thousand, six hundred ninety-six".