101648631 has 32 divisors (see below), whose sum is σ = 159735808. Its totient is φ = 56298240.

The previous prime is 101648629. The next prime is 101648633. The reversal of 101648631 is 136846101.

It is an interprime number because it is at equal distance from previous prime (101648629) and next prime (101648633).

It is not a de Polignac number, because 101648631 - 2¹ = 101648629 is a prime.

It is a super-2 number, since 2×101648631² = 20664888368348322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101648633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92970 + ... + 94056.

It is an arithmetic number, because the mean of its divisors is an integer number (4991744).

Almost surely, 2^101648631 is an apocalyptic number.

101648631 is a deficient number, since it is larger than the sum of its proper divisors (58087177).

101648631 is a wasteful number, since it uses less digits than its factorization.

101648631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 101648631 is about 10082.0945740456. The cubic root of 101648631 is about 466.6957485844.

The spelling of 101648631 in words is "one hundred one million, six hundred forty-eight thousand, six hundred thirty-one".