100116623093760 has 2496 divisors, whose sum is σ = 440889259819008. Its totient is φ = 20451076079616.

The previous prime is 100116623093759. The next prime is 100116623093761. The reversal of 100116623093760 is 67390326611001.

It is a happy number.

100116623093760 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 16 + 623 + 0 + 9 + 3 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100116623093759) and next prime (100116623093761).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116623093761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91598007774 + ... + 91598008866.

It is an arithmetic number, because the mean of its divisors is an integer number (176638325248).

Almost surely, 2^{100116623093760} is an apocalyptic number.

100116623093760 is a gapful number since it is divisible by the number (10) 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 100116623093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220444629909504).

100116623093760 is an abundant number, since it is smaller than the sum of its proper divisors (340772636725248).

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

100116623093760 is a wasteful number, since it uses less digits than its factorization.

100116623093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 100116623093760 in words is "one hundred trillion, one hundred sixteen billion, six hundred twenty-three million, ninety-three thousand, seven hundred sixty".