101362968 has 192 divisors, whose sum is σ = 335023200. Its totient is φ = 28304640.

The previous prime is 101362903. The next prime is 101362979. The reversal of 101362968 is 869263101.

101362968 is a `hidden beast` number, since 10 + 13 + 629 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645546 + ... + 645702.

Almost surely, 2^101362968 is an apocalyptic number.

101362968 is a gapful number since it is divisible by the number (18) 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 101362968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167511600).

101362968 is an abundant number, since it is smaller than the sum of its proper divisors (233660232).

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

101362968 is a wasteful number, since it uses less digits than its factorization.

101362968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 101362968 is about 10067.9177589013. The cubic root of 101362968 is about 466.2581536092.

The spelling of 101362968 in words is "one hundred one million, three hundred sixty-two thousand, nine hundred sixty-eight".