106415395600 has 120 divisors (see below), whose sum is σ = 267667868160. Its totient is φ = 40602831360.

The previous prime is 106415395577. The next prime is 106415395621. The reversal of 106415395600 is 6593514601.

It is a happy number.

It is a super-2 number, since 2×106415395600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 907537 + ... + 1018063.

It is an arithmetic number, because the mean of its divisors is an integer number (2230565568).

Almost surely, 2^106415395600 is an apocalyptic number.

106415395600 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 106415395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133833934080).

106415395600 is an abundant number, since it is smaller than the sum of its proper divisors (161252472560).

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

106415395600 is a wasteful number, since it uses less digits than its factorization.

106415395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110657 (or 110646 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 106415395600 in words is "one hundred six billion, four hundred fifteen million, three hundred ninety-five thousand, six hundred".