106136292556800 has 1824 divisors, whose sum is σ = 439374316339200. Its totient is φ = 24885854208000.

The previous prime is 106136292556709. The next prime is 106136292556829. The reversal of 106136292556800 is 8655292631601.

106136292556800 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 3 + 6 + 2 + 9 + 2 + 556 + 80 + 0 = 666.

It is a super-2 number, since 2×106136292556800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60338994321 + ... + 60338996079.

Almost surely, 2^{106136292556800} is an apocalyptic number.

106136292556800 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 106136292556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219687158169600).

106136292556800 is an abundant number, since it is smaller than the sum of its proper divisors (333238023782400).

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

106136292556800 is an equidigital number, since it uses as much as digits as its factorization.

106136292556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 106136292556800 in words is "one hundred six trillion, one hundred thirty-six billion, two hundred ninety-two million, five hundred fifty-six thousand, eight hundred".