101368995 has 72 divisors (see below), whose sum is σ = 205175376. Its totient is φ = 42360192.

The previous prime is 101368991. The next prime is 101368999. The reversal of 101368995 is 599863101.

It is an interprime number because it is at equal distance from previous prime (101368991) and next prime (101368999).

It is not a de Polignac number, because 101368995 - 2² = 101368991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101368991) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 984114 + ... + 984216.

It is an arithmetic number, because the mean of its divisors is an integer number (2849658).

Almost surely, 2^101368995 is an apocalyptic number.

101368995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101368995 is an abundant number, since it is smaller than the sum of its proper divisors (103806381).

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

101368995 is a wasteful number, since it uses less digits than its factorization.

101368995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 101368995 is about 10068.2170715574. The cubic root of 101368995 is about 466.2673945981.

The spelling of 101368995 in words is "one hundred one million, three hundred sixty-eight thousand, nine hundred ninety-five".