106005502400 has 126 divisors (see below), whose sum is σ = 303426101808. Its totient is φ = 36344716800.

The previous prime is 106005502397. The next prime is 106005502439. The reversal of 106005502400 is 4205500601.

It is a super-2 number, since 2×106005502400² (a number of 23 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 17 ways as a sum of consecutive naturals, for example, 597656 + ... + 754455.

Almost surely, 2^106005502400 is an apocalyptic number.

106005502400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005502400 is an abundant number, since it is smaller than the sum of its proper divisors (197420599408).

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

106005502400 is a wasteful number, since it uses less digits than its factorization.

106005502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352147 (or 1352125 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 106005502400 in words is "one hundred six billion, five million, five hundred two thousand, four hundred".