101742920 has 16 divisors (see below), whose sum is σ = 228921660. Its totient is φ = 40697152.

The previous prime is 101742877. The next prime is 101742941. The reversal of 101742920 is 29247101.

It can be written as a sum of positive squares in 2 ways, for example, as 98763844 + 2979076 = 9938^2 + 1726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101742920.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1271747 + ... + 1271826.

Almost surely, 2^101742920 is an apocalyptic number.

101742920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101742920 is an abundant number, since it is smaller than the sum of its proper divisors (127178740).

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

101742920 is a wasteful number, since it uses less digits than its factorization.

101742920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543584 (or 2543580 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 101742920 is about 10086.7695522402. The cubic root of 101742920 is about 466.8400059015.

The spelling of 101742920 in words is "one hundred one million, seven hundred forty-two thousand, nine hundred twenty".