106035828624 has 200 divisors, whose sum is σ = 335068247712. Its totient is φ = 32106170880.

The previous prime is 106035828593. The next prime is 106035828677. The reversal of 106035828624 is 426828530601.

106035828624 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 3 + 582 + 8 + 62 + 4 = 666.

It is a super-2 number, since 2×106035828624² (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 106035828624.

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, 24988647 + ... + 24992889.

Almost surely, 2^106035828624 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 106035828624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167534123856).

106035828624 is an abundant number, since it is smaller than the sum of its proper divisors (229032419088).

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

106035828624 is a wasteful number, since it uses less digits than its factorization.

106035828624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 106035828624 in words is "one hundred six billion, thirty-five million, eight hundred twenty-eight thousand, six hundred twenty-four".