101742900 has 72 divisors (see below), whose sum is σ = 336436800. Its totient is φ = 23255040.

The previous prime is 101742877. The next prime is 101742941. The reversal of 101742900 is 9247101.

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, 22125 + ... + 26324.

Almost surely, 2^101742900 is an apocalyptic number.

101742900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101742900 is an abundant number, since it is smaller than the sum of its proper divisors (234693900).

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

101742900 is a wasteful number, since it uses less digits than its factorization.

101742900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48473 (or 48466 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 101742900 is about 10086.7685608425. The cubic root of 101742900 is about 466.8399753120.

The spelling of 101742900 in words is "one hundred one million, seven hundred forty-two thousand, nine hundred".