103812949610496 has 1625 divisors, whose sum is σ = 381883354979071. Its totient is φ = 28099745759232.

The previous prime is 103812949610459. The next prime is 103812949610537. The reversal of 103812949610496 is 694016949218301.

The square root of 103812949610496 is 10188864.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

103812949610496 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 1 + 2 + 9 + 4 + 9 + 610 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×103812949610496² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 5463839453175 + ... + 5463839453193.

Almost surely, 2^{103812949610496} is an apocalyptic number.

103812949610496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103812949610496 is the 10188864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103812949610496

103812949610496 is an abundant number, since it is smaller than the sum of its proper divisors (278070405368575).

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

103812949610496 is an frugal number, since it uses more digits than its factorization.

103812949610496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 103812949610496 in words is "one hundred three trillion, eight hundred twelve billion, nine hundred forty-nine million, six hundred ten thousand, four hundred ninety-six".