101395983 has 16 divisors (see below), whose sum is σ = 151925760. Its totient is φ = 59684064.

The previous prime is 101395949. The next prime is 101396003. The reversal of 101395983 is 389593101.

It is not a de Polignac number, because 101395983 - 2¹⁰ = 101394959 is a prime.

It is a super-2 number, since 2×101395983² = 20562290737072578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101390983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55623 + ... + 57416.

It is an arithmetic number, because the mean of its divisors is an integer number (9495360).

Almost surely, 2^101395983 is an apocalyptic number.

101395983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101395983 is a deficient number, since it is larger than the sum of its proper divisors (50529777).

101395983 is a wasteful number, since it uses less digits than its factorization.

101395983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113078.

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 101395983 is about 10069.5572395215. The cubic root of 101395983 is about 466.3087698657.

It can be divided in two parts, 101395 and 983, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 101395983 in words is "one hundred one million, three hundred ninety-five thousand, nine hundred eighty-three".