106256480400 has 1800 divisors, whose sum is σ = 488670437376. Its totient is φ = 21946982400.

The previous prime is 106256480399. The next prime is 106256480411. The reversal of 106256480400 is 4084652601.

106256480400 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 648 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×106256480400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 836665137 + ... + 836665263.

Almost surely, 2^106256480400 is an apocalyptic number.

106256480400 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 106256480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244335218688).

106256480400 is an abundant number, since it is smaller than the sum of its proper divisors (382413956976).

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

106256480400 is a wasteful number, since it uses less digits than its factorization.

106256480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 106256480400 in words is "one hundred six billion, two hundred fifty-six million, four hundred eighty thousand, four hundred".