101392947 has 24 divisors (see below), whose sum is σ = 161819424. Its totient is φ = 60850944.

The previous prime is 101392937. The next prime is 101392969. The reversal of 101392947 is 749293101.

It is not a de Polignac number, because 101392947 - 2¹² = 101388851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101392927) 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 23 ways as a sum of consecutive naturals, for example, 10888 + ... + 17925.

It is an arithmetic number, because the mean of its divisors is an integer number (6742476).

Almost surely, 2^101392947 is an apocalyptic number.

101392947 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

101392947 is a deficient number, since it is larger than the sum of its proper divisors (60426477).

101392947 is a wasteful number, since it uses less digits than its factorization.

101392947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28859 (or 28856 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 101392947 is about 10069.4064869783. The cubic root of 101392947 is about 466.3041157446.

The spelling of 101392947 in words is "one hundred one million, three hundred ninety-two thousand, nine hundred forty-seven".