101905399960 has 192 divisors, whose sum is σ = 294247689120. Its totient is φ = 31464437760.

The previous prime is 101905399943. The next prime is 101905399979. The reversal of 101905399960 is 69993509101.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 101905399898 and 101905399907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995907 + ... + 1093453.

Almost surely, 2^101905399960 is an apocalyptic number.

101905399960 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 101905399960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147123844560).

101905399960 is an abundant number, since it is smaller than the sum of its proper divisors (192342289160).

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

101905399960 is a wasteful number, since it uses less digits than its factorization.

101905399960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97626 (or 97615 counting only the distinct ones).

The product of its (nonzero) digits is 590490, while the sum is 52.

The spelling of 101905399960 in words is "one hundred one billion, nine hundred five million, three hundred ninety-nine thousand, nine hundred sixty".