106249893062400 has 648 divisors, whose sum is σ = 392197546750464. Its totient is φ = 27424515686400.

The previous prime is 106249893062377. The next prime is 106249893062501. The reversal of 106249893062400 is 4260398942601.

106249893062400 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 9 + 8 + 9 + 3 + 0 + 624 + 0 + 0 = 666.

It is a super-2 number, since 2×106249893062400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299746072 + ... + 300100328.

Almost surely, 2^{106249893062400} is an apocalyptic number.

106249893062400 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 106249893062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196098773375232).

106249893062400 is an abundant number, since it is smaller than the sum of its proper divisors (285947653688064).

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

106249893062400 is a wasteful number, since it uses less digits than its factorization.

106249893062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354457 (or 354435 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 106249893062400 in words is "one hundred six trillion, two hundred forty-nine billion, eight hundred ninety-three million, sixty-two thousand, four hundred".