101839001040 has 180 divisors, whose sum is σ = 397847704644. Its totient is φ = 23277477888.

The previous prime is 101839001003. The next prime is 101839001059. The reversal of 101839001040 is 40100938101.

It can be written as a sum of positive squares in 2 ways, for example, as 71487786384 + 30351214656 = 267372^2 + 174216^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 101839000995 and 101839001013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1408017 + ... + 1478576.

Almost surely, 2^101839001040 is an apocalyptic number.

101839001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101839001040 is an abundant number, since it is smaller than the sum of its proper divisors (296008703604).

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

101839001040 is a wasteful number, since it uses less digits than its factorization.

101839001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886626 (or 2886610 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 101839001040 its reverse (40100938101), we get a palindrome (141939939141).

The spelling of 101839001040 in words is "one hundred one billion, eight hundred thirty-nine million, one thousand, forty".