101054352040 has 64 divisors (see below), whose sum is σ = 238160736000. Its totient is φ = 38517169152.

The previous prime is 101054352031. The next prime is 101054352131. The reversal of 101054352040 is 40253450101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101054351996 and 101054352014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33136 + ... + 450784.

It is an arithmetic number, because the mean of its divisors is an integer number (3721261500).

Almost surely, 2^101054352040 is an apocalyptic number.

101054352040 is a gapful number since it is divisible by the number (10) 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 101054352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119080368000).

101054352040 is an abundant number, since it is smaller than the sum of its proper divisors (137106383960).

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

101054352040 is a wasteful number, since it uses less digits than its factorization.

101054352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417946 (or 417942 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 101054352040 in words is "one hundred one billion, fifty-four million, three hundred fifty-two thousand, forty".