101083970 has 64 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 36114624.

The previous prime is 101083967. The next prime is 101083973. The reversal of 101083970 is 79380101.

It is an interprime number because it is at equal distance from previous prime (101083967) and next prime (101083973).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101083973) 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 31 ways as a sum of consecutive naturals, for example, 944657 + ... + 944763.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2^101083970 is an apocalyptic number.

101083970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101083970 is an abundant number, since it is smaller than the sum of its proper divisors (102491710).

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

101083970 is a wasteful number, since it uses less digits than its factorization.

101083970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 101083970 is about 10054.0524168118. The cubic root of 101083970 is about 465.8299741360.

The spelling of 101083970 in words is "one hundred one million, eighty-three thousand, nine hundred seventy".