10141295616 has 99 divisors (see below), whose sum is σ = 29310712561. Its totient is φ = 3377209344.

The previous prime is 10141295603. The next prime is 10141295623. The reversal of 10141295616 is 61659214101.

The square root of 10141295616 is 100704.

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

10141295616 is a `hidden beast` number, since 1 + 0 + 14 + 1 + 29 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9197577216 + 943718400 = 95904^2 + 30720^2 .

It is a super-2 number, since 2×10141295616² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9667060 + ... + 9668108.

Almost surely, 2^10141295616 is an apocalyptic number.

10141295616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10141295616 is the 100704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141295616

10141295616 is an abundant number, since it is smaller than the sum of its proper divisors (19169416945).

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

10141295616 is an frugal number, since it uses more digits than its factorization.

10141295616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 10141295616 by its sum of digits (36), we get a square (365086642176 = 604224²).

10141295616 divided by its sum of digits (36) gives a square (281702656 = 16784²).

The spelling of 10141295616 in words is "ten billion, one hundred forty-one million, two hundred ninety-five thousand, six hundred sixteen".