106017422400 has 168 divisors, whose sum is σ = 386472927840. Its totient is φ = 28271301120.

The previous prime is 106017422347. The next prime is 106017422447. The reversal of 106017422400 is 4224710601.

106017422400 is a `hidden beast` number, since 10 + 60 + 174 + 22 + 400 = 666.

It is a super-5 number, since 5×106017422400⁵ (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183854 + ... + 1270253.

Almost surely, 2^106017422400 is an apocalyptic number.

106017422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106017422400 is an abundant number, since it is smaller than the sum of its proper divisors (280455505440).

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

106017422400 is a wasteful number, since it uses less digits than its factorization.

106017422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454138 (or 2454117 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 106017422400 in words is "one hundred six billion, seventeen million, four hundred twenty-two thousand, four hundred".