101415341640 has 128 divisors (see below), whose sum is σ = 334183449600. Its totient is φ = 24506760960.

The previous prime is 101415341639. The next prime is 101415341681. The reversal of 101415341640 is 46143514101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101415341598 and 101415341607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914526 + ... + 1019405.

It is an arithmetic number, because the mean of its divisors is an integer number (2610808200).

Almost surely, 2^101415341640 is an apocalyptic number.

101415341640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101415341640 is an abundant number, since it is smaller than the sum of its proper divisors (232768107960).

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

101415341640 is a wasteful number, since it uses less digits than its factorization.

101415341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933987 (or 1933983 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 101415341640 its reverse (46143514101), we get a palindrome (147558855741).

The spelling of 101415341640 in words is "one hundred one billion, four hundred fifteen million, three hundred forty-one thousand, six hundred forty".