101976840 has 384 divisors, whose sum is σ = 413683200. Its totient is φ = 22256640.

The previous prime is 101976817. The next prime is 101976851. The reversal of 101976840 is 48679101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101976795 and 101976804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2169697 + ... + 2169743.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^101976840 is an apocalyptic number.

101976840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

101976840 is an abundant number, since it is smaller than the sum of its proper divisors (311706360).

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

101976840 is a wasteful number, since it uses less digits than its factorization.

101976840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101976840 is about 10098.3582824140. The cubic root of 101976840 is about 467.1975070432.

The spelling of 101976840 in words is "one hundred one million, nine hundred seventy-six thousand, eight hundred forty".