101881640 has 64 divisors (see below), whose sum is σ = 271036800. Its totient is φ = 33723648.

The previous prime is 101881631. The next prime is 101881649. The reversal of 101881640 is 46188101.

It is an interprime number because it is at equal distance from previous prime (101881631) and next prime (101881649).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (101881649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (4234950).

Almost surely, 2^101881640 is an apocalyptic number.

101881640 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 101881640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135518400).

101881640 is an abundant number, since it is smaller than the sum of its proper divisors (169155160).

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

101881640 is a wasteful number, since it uses less digits than its factorization.

101881640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12590 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 101881640 is about 10093.6435443303. The cubic root of 101881640 is about 467.0520784330.

The spelling of 101881640 in words is "one hundred one million, eight hundred eighty-one thousand, six hundred forty".