106187615424 has 168 divisors, whose sum is σ = 341012148048. Its totient is φ = 31308318720.

The previous prime is 106187615393. The next prime is 106187615453. The reversal of 106187615424 is 424516781601.

106187615424 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 7 + 615 + 4 + 24 = 666.

It is a super-2 number, since 2×106187615424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106187615424.

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, 7954 + ... + 460910.

Almost surely, 2^106187615424 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 106187615424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170506074024).

106187615424 is an abundant number, since it is smaller than the sum of its proper divisors (234824532624).

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

106187615424 is a wasteful number, since it uses less digits than its factorization.

106187615424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453023 (or 453010 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 106187615424 in words is "one hundred six billion, one hundred eighty-seven million, six hundred fifteen thousand, four hundred twenty-four".