101006700 has 36 divisors (see below), whose sum is σ = 292246920. Its totient is φ = 26935040.

The previous prime is 101006671. The next prime is 101006701. The reversal of 101006700 is 7600101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101006700.

It is not an unprimeable number, because it can be changed into a prime (101006701) 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 11 ways as a sum of consecutive naturals, for example, 168045 + ... + 168644.

It is an arithmetic number, because the mean of its divisors is an integer number (8117970).

Almost surely, 2^101006700 is an apocalyptic number.

101006700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101006700 is an abundant number, since it is smaller than the sum of its proper divisors (191240220).

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

101006700 is a wasteful number, since it uses less digits than its factorization.

101006700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336706 (or 336699 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 101006700 is about 10050.2089530517. The cubic root of 101006700 is about 465.7112482305.

Adding to 101006700 its reverse (7600101), we get a palindrome (108606801).

The spelling of 101006700 in words is "one hundred one million, six thousand, seven hundred".