101835438408 has 128 divisors (see below), whose sum is σ = 308908944000. Its totient is φ = 30827554560.

The previous prime is 101835438391. The next prime is 101835438413. The reversal of 101835438408 is 804834538101.

101835438408 is a `hidden beast` number, since 10 + 18 + 3 + 543 + 84 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2347378 + ... + 2390366.

It is an arithmetic number, because the mean of its divisors is an integer number (2413351125).

Almost surely, 2^101835438408 is an apocalyptic number.

101835438408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101835438408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154454472000).

101835438408 is an abundant number, since it is smaller than the sum of its proper divisors (207073505592).

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

101835438408 is a wasteful number, since it uses less digits than its factorization.

101835438408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44012 (or 44002 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 101835438408 in words is "one hundred one billion, eight hundred thirty-five million, four hundred thirty-eight thousand, four hundred eight".