100052237654544 has 640 divisors, whose sum is σ = 328234991616000. Its totient is φ = 25604474886144.

The previous prime is 100052237654543. The next prime is 100052237654549. The reversal of 100052237654544 is 445456732250001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100052237654493 and 100052237654502.

It is not an unprimeable number, because it can be changed into a prime (100052237654543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4673798689 + ... + 4673820095.

It is an arithmetic number, because the mean of its divisors is an integer number (512867174400).

Almost surely, 2^{100052237654544} is an apocalyptic number.

100052237654544 is a gapful number since it is divisible by the number (14) 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 100052237654544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164117495808000).

100052237654544 is an abundant number, since it is smaller than the sum of its proper divisors (228182753961456).

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

100052237654544 is a wasteful number, since it uses less digits than its factorization.

100052237654544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21835 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 100052237654544 in words is "one hundred trillion, fifty-two billion, two hundred thirty-seven million, six hundred fifty-four thousand, five hundred forty-four".