101078849040 has 160 divisors (see below), whose sum is σ = 337789630080. Its totient is φ = 24855748608.

The previous prime is 101078849009. The next prime is 101078849059. The reversal of 101078849040 is 40948870101.

It is a Cunningham number, because it is equal to 317929²-1.

It is a super-2 number, since 2×101078849040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101078848983 and 101078849001.

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, 3163384 + ... + 3195176.

It is an arithmetic number, because the mean of its divisors is an integer number (2111185188).

Almost surely, 2^101078849040 is an apocalyptic number.

101078849040 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 101078849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168894815040).

101078849040 is an abundant number, since it is smaller than the sum of its proper divisors (236710781040).

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

101078849040 is a wasteful number, since it uses less digits than its factorization.

101078849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32841 (or 32835 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 101078849040 in words is "one hundred one billion, seventy-eight million, eight hundred forty-nine thousand, forty".