100945595520 has 1600 divisors, whose sum is σ = 477042984000. Its totient is φ = 19871723520.

The previous prime is 100945595507. The next prime is 100945595533. The reversal of 100945595520 is 25595549001.

100945595520 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 4 + 5 + 595 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100945595507) and next prime (100945595533).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 5312926071 + ... + 5312926089.

It is an arithmetic number, because the mean of its divisors is an integer number (298151865).

Almost surely, 2^100945595520 is an apocalyptic number.

100945595520 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 100945595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238521492000).

100945595520 is an abundant number, since it is smaller than the sum of its proper divisors (376097388480).

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

100945595520 is an frugal number, since it uses more digits than its factorization.

100945595520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 100945595520 in words is "one hundred billion, nine hundred forty-five million, five hundred ninety-five thousand, five hundred twenty".