101367630 has 96 divisors (see below), whose sum is σ = 324402624. Its totient is φ = 21385728.

The previous prime is 101367593. The next prime is 101367661. The reversal of 101367630 is 36763101.

101367630 is a `hidden beast` number, since 10 + 13 + 6 + 7 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101367594 and 101367603.

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, 2002 + ... + 14378.

It is an arithmetic number, because the mean of its divisors is an integer number (3379194).

Almost surely, 2^101367630 is an apocalyptic number.

101367630 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 101367630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162201312).

101367630 is an abundant number, since it is smaller than the sum of its proper divisors (223034994).

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

101367630 is a wasteful number, since it uses less digits than its factorization.

101367630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410 (or 12407 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 101367630 is about 10068.1492837562. The cubic root of 101367630 is about 466.2653017233.

It can be divided in two parts, 10136 and 7630, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 101367630 in words is "one hundred one million, three hundred sixty-seven thousand, six hundred thirty".