101790040 has 48 divisors (see below), whose sum is σ = 251753040. Its totient is φ = 37012800.

The previous prime is 101790037. The next prime is 101790083. The reversal of 101790040 is 40097101.

It is a super-2 number, since 2×101790040² = 20722424486403200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101789993 and 101790020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5676 + ... + 15355.

It is an arithmetic number, because the mean of its divisors is an integer number (5244855).

Almost surely, 2^101790040 is an apocalyptic number.

101790040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101790040 is an abundant number, since it is smaller than the sum of its proper divisors (149963000).

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

101790040 is a wasteful number, since it uses less digits than its factorization.

101790040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21064 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 101790040 is about 10089.1050148167. The cubic root of 101790040 is about 466.9120636789.

The spelling of 101790040 in words is "one hundred one million, seven hundred ninety thousand, forty".