101365368 has 32 divisors (see below), whose sum is σ = 272907600. Its totient is φ = 31189248.

The previous prime is 101365357. The next prime is 101365379. The reversal of 101365368 is 863563101.

It is an interprime number because it is at equal distance from previous prime (101365357) and next prime (101365379).

It is a super-3 number, since 3×101365368³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162133 + ... + 162756.

Almost surely, 2^101365368 is an apocalyptic number.

It is an amenable number.

101365368 is an abundant number, since it is smaller than the sum of its proper divisors (171542232).

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

101365368 is a wasteful number, since it uses less digits than its factorization.

101365368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324911 (or 324907 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 101365368 is about 10068.0369486807. The cubic root of 101365368 is about 466.2618334894.

It can be divided in two parts, 10 and 1365368, that added together give a triangular number (1365378 = T₁₆₅₂).

The spelling of 101365368 in words is "one hundred one million, three hundred sixty-five thousand, three hundred sixty-eight".