101288503974 has 96 divisors (see below), whose sum is σ = 237104824320. Its totient is φ = 28761481728.

The previous prime is 101288503961. The next prime is 101288504021. The reversal of 101288503974 is 479305882101.

It is a super-2 number, since 2×101288503974² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60906267 + ... + 60907929.

It is an arithmetic number, because the mean of its divisors is an integer number (2469841920).

Almost surely, 2^101288503974 is an apocalyptic number.

101288503974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101288503974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552412160).

101288503974 is an abundant number, since it is smaller than the sum of its proper divisors (135816320346).

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

101288503974 is a wasteful number, since it uses less digits than its factorization.

101288503974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 101288503974 in words is "one hundred one billion, two hundred eighty-eight million, five hundred three thousand, nine hundred seventy-four".