101979540 has 192 divisors, whose sum is σ = 348096000. Its totient is φ = 24634368.

The previous prime is 101979533. The next prime is 101979541. The reversal of 101979540 is 45979101.

101979540 is a `hidden beast` number, since 101 + 9 + 7 + 9 + 540 = 666.

It is a super-2 number, since 2×101979540² = 20799653157223200, 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 = 101979495 and 101979504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101979541) 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, 512361 + ... + 512559.

It is an arithmetic number, because the mean of its divisors is an integer number (1813000).

Almost surely, 2^101979540 is an apocalyptic number.

101979540 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 101979540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174048000).

101979540 is an abundant number, since it is smaller than the sum of its proper divisors (246116460).

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

101979540 is a wasteful number, since it uses less digits than its factorization.

101979540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 101979540 is about 10098.4919666255. The cubic root of 101979540 is about 467.2016302740.

The spelling of 101979540 in words is "one hundred one million, nine hundred seventy-nine thousand, five hundred forty".