106634361600 has 540 divisors, whose sum is σ = 424631564896. Its totient is φ = 26246799360.

The previous prime is 106634361583. The next prime is 106634361697. The reversal of 106634361600 is 6163436601.

106634361600 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 43 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×106634361600² (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 59 ways as a sum of consecutive naturals, for example, 6731289 + ... + 6747111.

Almost surely, 2^106634361600 is an apocalyptic number.

106634361600 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 106634361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212315782448).

106634361600 is an abundant number, since it is smaller than the sum of its proper divisors (317997203296).

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

106634361600 is a wasteful number, since it uses less digits than its factorization.

106634361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15874 (or 15846 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 106634361600 in words is "one hundred six billion, six hundred thirty-four million, three hundred sixty-one thousand, six hundred".