106267244400 has 180 divisors, whose sum is σ = 376623772512. Its totient is φ = 27734952960.

The previous prime is 106267244393. The next prime is 106267244411. The reversal of 106267244400 is 4442762601.

106267244400 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 7 + 244 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106267244400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144829 + ... + 483228.

Almost surely, 2^106267244400 is an apocalyptic number.

106267244400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106267244400 is an abundant number, since it is smaller than the sum of its proper divisors (270356528112).

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

106267244400 is a wasteful number, since it uses less digits than its factorization.

106267244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628128 (or 628114 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 106267244400 in words is "one hundred six billion, two hundred sixty-seven million, two hundred forty-four thousand, four hundred".