106415603400 has 96 divisors (see below), whose sum is σ = 340529990400. Its totient is φ = 27462086400.

The previous prime is 106415603383. The next prime is 106415603417. The reversal of 106415603400 is 4306514601.

It is an interprime number because it is at equal distance from previous prime (106415603383) and next prime (106415603417).

It is a super-2 number, since 2×106415603400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2842035 + ... + 2879234.

It is an arithmetic number, because the mean of its divisors is an integer number (3547187400).

Almost surely, 2^106415603400 is an apocalyptic number.

106415603400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106415603400 is an abundant number, since it is smaller than the sum of its proper divisors (234114387000).

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

106415603400 is a wasteful number, since it uses less digits than its factorization.

106415603400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721319 (or 5721310 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 106415603400 in words is "one hundred six billion, four hundred fifteen million, six hundred three thousand, four hundred".