101645604540 has 192 divisors, whose sum is σ = 334623744000. Its totient is φ = 25543952640.

The previous prime is 101645604527. The next prime is 101645604589. The reversal of 101645604540 is 45406546101.

101645604540 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 5 + 604 + 5 + 40 = 666.

It is a super-2 number, since 2×101645604540² (a number of 23 digits) 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 = 101645604495 and 101645604504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1933726 + ... + 1985594.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832000).

Almost surely, 2^101645604540 is an apocalyptic number.

101645604540 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 101645604540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872000).

101645604540 is an abundant number, since it is smaller than the sum of its proper divisors (232978139460).

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

101645604540 is a wasteful number, since it uses less digits than its factorization.

101645604540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52097 (or 52089 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 101645604540 in words is "one hundred one billion, six hundred forty-five million, six hundred four thousand, five hundred forty".