105997551264000 has 720 divisors, whose sum is σ = 430308952609536. Its totient is φ = 25696369152000.

The previous prime is 105997551263999. The next prime is 105997551264013. The reversal of 105997551264000 is 462155799501.

105997551264000 is a `hidden beast` number, since 1 + 0 + 59 + 9 + 75 + 512 + 6 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105997551264000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26653177 + ... + 30370823.

Almost surely, 2^{105997551264000} is an apocalyptic number.

105997551264000 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 105997551264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215154476304768).

105997551264000 is an abundant number, since it is smaller than the sum of its proper divisors (324311401345536).

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

105997551264000 is an equidigital number, since it uses as much as digits as its factorization.

105997551264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717701 (or 3717668 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 105997551264000 in words is "one hundred five trillion, nine hundred ninety-seven billion, five hundred fifty-one million, two hundred sixty-four thousand".