101358545440 has 96 divisors (see below), whose sum is σ = 250468194816. Its totient is φ = 38687953920.

The previous prime is 101358545419. The next prime is 101358545537. The reversal of 101358545440 is 44545853101.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 101358545393 and 101358545402.

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, 1516569 + ... + 1581991.

It is an arithmetic number, because the mean of its divisors is an integer number (2609043696).

Almost surely, 2^101358545440 is an apocalyptic number.

101358545440 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 101358545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125234097408).

101358545440 is an abundant number, since it is smaller than the sum of its proper divisors (149109649376).

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

101358545440 is a wasteful number, since it uses less digits than its factorization.

101358545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65882 (or 65874 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 101358545440 in words is "one hundred one billion, three hundred fifty-eight million, five hundred forty-five thousand, four hundred forty".