101137785840 has 2240 divisors, whose sum is σ = 491818521600. Its totient is φ = 18704203776.

The previous prime is 101137785817. The next prime is 101137785863. The reversal of 101137785840 is 48587731101.

It is an interprime number because it is at equal distance from previous prime (101137785817) and next prime (101137785863).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1714199731 + ... + 1714199789.

It is an arithmetic number, because the mean of its divisors is an integer number (219561840).

Almost surely, 2^101137785840 is an apocalyptic number.

101137785840 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 101137785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245909260800).

101137785840 is an abundant number, since it is smaller than the sum of its proper divisors (390680735760).

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

101137785840 is a wasteful number, since it uses less digits than its factorization.

101137785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 101137785840 in words is "one hundred one billion, one hundred thirty-seven million, seven hundred eighty-five thousand, eight hundred forty".