101616642 has 24 divisors (see below), whose sum is σ = 220431744. Its totient is φ = 33831864.

The previous prime is 101616631. The next prime is 101616677. The reversal of 101616642 is 246616101.

101616642 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 16 + 642 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14823 + ... + 20565.

It is an arithmetic number, because the mean of its divisors is an integer number (9184656).

Almost surely, 2^101616642 is an apocalyptic number.

101616642 is an abundant number, since it is smaller than the sum of its proper divisors (118815102).

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

101616642 is a wasteful number, since it uses less digits than its factorization.

101616642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101616642 is about 10080.5080229123. The cubic root of 101616642 is about 466.6467867949.

The spelling of 101616642 in words is "one hundred one million, six hundred sixteen thousand, six hundred forty-two".