106534152806400 has 3360 divisors, whose sum is σ = 457325578575360. Its totient is φ = 24270077952000.

The previous prime is 106534152806381. The next prime is 106534152806519. The reversal of 106534152806400 is 4608251435601.

106534152806400 is a `hidden beast` number, since 1 + 0 + 6 + 534 + 1 + 52 + 8 + 0 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×106534152806400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 209300889346 + ... + 209300889854.

Almost surely, 2^{106534152806400} is an apocalyptic number.

106534152806400 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 106534152806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228662789287680).

106534152806400 is an abundant number, since it is smaller than the sum of its proper divisors (350791425768960).

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

106534152806400 is a wasteful number, since it uses less digits than its factorization.

106534152806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 106534152806400 in words is "one hundred six trillion, five hundred thirty-four billion, one hundred fifty-two million, eight hundred six thousand, four hundred".