106581516030 has 96 divisors (see below), whose sum is σ = 302392217088. Its totient is φ = 25830398400.

The previous prime is 106581515993. The next prime is 106581516059. The reversal of 106581516030 is 30615185601.

106581516030 is a `hidden beast` number, since 1 + 0 + 65 + 81 + 516 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×106581516030² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3858127 + ... + 3885653.

It is an arithmetic number, because the mean of its divisors is an integer number (3149918928).

Almost surely, 2^106581516030 is an apocalyptic number.

106581516030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106581516030 is an abundant number, since it is smaller than the sum of its proper divisors (195810701058).

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

106581516030 is a wasteful number, since it uses less digits than its factorization.

106581516030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31462 (or 31459 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106581516030 in words is "one hundred six billion, five hundred eighty-one million, five hundred sixteen thousand, thirty".