101296638 has 48 divisors (see below), whose sum is σ = 232174800. Its totient is φ = 31829760.

The previous prime is 101296633. The next prime is 101296651. The reversal of 101296638 is 836692101.

101296638 is a `hidden beast` number, since 1 + 0 + 12 + 9 + 6 + 638 = 666.

It is a super-2 number, since 2×101296638² = 20522017740206088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101296631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81808 + ... + 83036.

It is an arithmetic number, because the mean of its divisors is an integer number (4836975).

Almost surely, 2^101296638 is an apocalyptic number.

101296638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101296638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116087400).

101296638 is an abundant number, since it is smaller than the sum of its proper divisors (130878162).

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

101296638 is a wasteful number, since it uses less digits than its factorization.

101296638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 101296638 is about 10064.6230927939. The cubic root of 101296638 is about 466.1564279251.

The spelling of 101296638 in words is "one hundred one million, two hundred ninety-six thousand, six hundred thirty-eight".