106365572651520 has 4800 divisors, whose sum is σ = 497978082112896. Its totient is φ = 21490485166080.

The previous prime is 106365572651519. The next prime is 106365572651549. The reversal of 106365572651520 is 25156275563601.

106365572651520 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 5 + 57 + 2 + 65 + 1 + 520 = 666.

It is a super-2 number, since 2×106365572651520² (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 479 ways as a sum of consecutive naturals, for example, 346467663207 + ... + 346467663513.

Almost surely, 2^{106365572651520} is an apocalyptic number.

106365572651520 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 106365572651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248989041056448).

106365572651520 is an abundant number, since it is smaller than the sum of its proper divisors (391612509461376).

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

106365572651520 is a wasteful number, since it uses less digits than its factorization.

106365572651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 106365572651520 in words is "one hundred six trillion, three hundred sixty-five billion, five hundred seventy-two million, six hundred fifty-one thousand, five hundred twenty".