101879640 has 256 divisors, whose sum is σ = 373248000. Its totient is φ = 24606720.

The previous prime is 101879593. The next prime is 101879647. The reversal of 101879640 is 46978101.

101879640 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 7 + 9 + 640 = 666.

It is a super-2 number, since 2×101879640² = 20758922093059200, which contains 22 as substring.

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 = 101879595 and 101879604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101879647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569071 + ... + 569249.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 2^101879640 is an apocalyptic number.

101879640 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 101879640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

101879640 is an abundant number, since it is smaller than the sum of its proper divisors (271368360).

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

101879640 is a wasteful number, since it uses less digits than its factorization.

101879640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

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

The square root of 101879640 is about 10093.5444715917. The cubic root of 101879640 is about 467.0490222387.

The spelling of 101879640 in words is "one hundred one million, eight hundred seventy-nine thousand, six hundred forty".