106415512236 has 120 divisors (see below), whose sum is σ = 304082689680. Its totient is φ = 32183222400.

The previous prime is 106415512199. The next prime is 106415512271. The reversal of 106415512236 is 632215514601.

106415512236 is a `hidden beast` number, since 1 + 0 + 6 + 415 + 5 + 1 + 2 + 236 = 666.

It is a super-2 number, since 2×106415512236² (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 a self number, because there is not a number n which added to its sum of digits gives 106415512236.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1784746 + ... + 1843406.

It is an arithmetic number, because the mean of its divisors is an integer number (2534022414).

Almost surely, 2^106415512236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106415512236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152041344840).

106415512236 is an abundant number, since it is smaller than the sum of its proper divisors (197667177444).

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

106415512236 is a wasteful number, since it uses less digits than its factorization.

106415512236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59197 (or 59186 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106415512236 in words is "one hundred six billion, four hundred fifteen million, five hundred twelve thousand, two hundred thirty-six".