101112640 has 28 divisors (see below), whose sum is σ = 240775236. Its totient is φ = 40444928.

The previous prime is 101112593. The next prime is 101112643. The reversal of 101112640 is 46211101.

It can be written as a sum of positive squares in 2 ways, for example, as 27290176 + 73822464 = 5224^2 + 8592^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112643) 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 3 ways as a sum of consecutive naturals, for example, 157669 + ... + 158308.

Almost surely, 2^101112640 is an apocalyptic number.

101112640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112640 is an abundant number, since it is smaller than the sum of its proper divisors (139662596).

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

101112640 is an equidigital number, since it uses as much as digits as its factorization.

101112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315994 (or 315984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101112640 is about 10055.4781089712. The cubic root of 101112640 is about 465.8740104058.

Adding to 101112640 its reverse (46211101), we get a palindrome (147323741).

It can be divided in two parts, 1011 and 12640, that multiplied together give a triangular number (12779040 = T₅₀₅₅).

The spelling of 101112640 in words is "one hundred one million, one hundred twelve thousand, six hundred forty".