101008038950 has 144 divisors (see below), whose sum is σ = 249205862304. Its totient is φ = 30086784000.

The previous prime is 101008038919. The next prime is 101008038959. The reversal of 101008038950 is 59830800101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 101008038950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101008038959) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 448175 + ... + 634725.

It is an arithmetic number, because the mean of its divisors is an integer number (1730596266).

Almost surely, 2^101008038950 is an apocalyptic number.

101008038950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101008038950 is an abundant number, since it is smaller than the sum of its proper divisors (148197823354).

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

101008038950 is a wasteful number, since it uses less digits than its factorization.

101008038950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186607 (or 186595 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 101008038950 in words is "one hundred one billion, eight million, thirty-eight thousand, nine hundred fifty".