101596950 has 192 divisors, whose sum is σ = 344977920. Its totient is φ = 21409920.

The previous prime is 101596949. The next prime is 101596961. The reversal of 101596950 is 59695101.

101596950 is a `hidden beast` number, since 10 + 1 + 596 + 9 + 50 = 666.

It is a congruent number.

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, 122437 + ... + 123263.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 2^101596950 is an apocalyptic number.

101596950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101596950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

101596950 is an abundant number, since it is smaller than the sum of its proper divisors (243380970).

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

101596950 is a wasteful number, since it uses less digits than its factorization.

101596950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 101596950 is about 10079.5312391004. The cubic root of 101596950 is about 466.6166414630.

The spelling of 101596950 in words is "one hundred one million, five hundred ninety-six thousand, nine hundred fifty".