101292140 has 24 divisors (see below), whose sum is σ = 217903392. Its totient is φ = 39528320.

The previous prime is 101292131. The next prime is 101292143. The reversal of 101292140 is 41292101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101292143) 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 7 ways as a sum of consecutive naturals, for example, 60944 + ... + 62583.

It is an arithmetic number, because the mean of its divisors is an integer number (9079308).

Almost surely, 2^101292140 is an apocalyptic number.

101292140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101292140 is an abundant number, since it is smaller than the sum of its proper divisors (116611252).

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

101292140 is a wasteful number, since it uses less digits than its factorization.

101292140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123577 (or 123575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101292140 is about 10064.3996343547. The cubic root of 101292140 is about 466.1495280494.

The spelling of 101292140 in words is "one hundred one million, two hundred ninety-two thousand, one hundred forty".