101162640 has 80 divisors (see below), whose sum is σ = 314854848. Its totient is φ = 26869248.

The previous prime is 101162629. The next prime is 101162647. The reversal of 101162640 is 46261101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101162647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72994 + ... + 74366.

Almost surely, 2^101162640 is an apocalyptic number.

101162640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157427424).

101162640 is an abundant number, since it is smaller than the sum of its proper divisors (213692208).

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

101162640 is a wasteful number, since it uses less digits than its factorization.

101162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101162640 is about 10057.9640086849. The cubic root of 101162640 is about 465.9507890097.

The spelling of 101162640 in words is "one hundred one million, one hundred sixty-two thousand, six hundred forty".