101406305376 has 120 divisors (see below), whose sum is σ = 299733310800. Its totient is φ = 33632070912.

The previous prime is 101406305333. The next prime is 101406305417. The reversal of 101406305376 is 673503604101.

101406305376 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 630 + 5 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101406305376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 417510 + ... + 614106.

It is an arithmetic number, because the mean of its divisors is an integer number (2497777590).

Almost surely, 2^101406305376 is an apocalyptic number.

101406305376 is a gapful number since it is divisible by the number (16) 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 101406305376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149866655400).

101406305376 is an abundant number, since it is smaller than the sum of its proper divisors (198327005424).

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

101406305376 is a wasteful number, since it uses less digits than its factorization.

101406305376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196818 (or 196801 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 101406305376 its reverse (673503604101), we get a palindrome (774909909477).

The spelling of 101406305376 in words is "one hundred one billion, four hundred six million, three hundred five thousand, three hundred seventy-six".