101873940 has 72 divisors (see below), whose sum is σ = 331827552. Its totient is φ = 23284800.

The previous prime is 101873929. The next prime is 101873963. The reversal of 101873940 is 49378101.

It is a super-2 number, since 2×101873940² = 20756599302247200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14386 + ... + 20265.

It is an arithmetic number, because the mean of its divisors is an integer number (4608716).

Almost surely, 2^101873940 is an apocalyptic number.

101873940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101873940 is an abundant number, since it is smaller than the sum of its proper divisors (229953612).

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

101873940 is a wasteful number, since it uses less digits than its factorization.

101873940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34677 (or 34668 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 101873940 is about 10093.2621089517. The cubic root of 101873940 is about 467.0403118654.

The spelling of 101873940 in words is "one hundred one million, eight hundred seventy-three thousand, nine hundred forty".