157061616100 has 27 divisors (see below), whose sum is σ = 340832307081. Its totient is φ = 62823061200.

The previous prime is 157061616067. The next prime is 157061616109. The reversal of 157061616100 is 1616160751.

The square root of 157061616100 is 396310.

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

It can be written as a sum of positive squares in only one way, i.e., 56542181796 + 100519434304 = 237786^2 + 317048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157061616109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3943285 + ... + 3982915.

Almost surely, 2^157061616100 is an apocalyptic number.

157061616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157061616100 is the 396310-th square number.

It is an amenable number.

157061616100 is an abundant number, since it is smaller than the sum of its proper divisors (183770690981).

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

157061616100 is an frugal number, since it uses more digits than its factorization.

157061616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79276 (or 39638 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

Adding to 157061616100 its reverse (1616160751), we get a palindrome (158677776851).

The spelling of 157061616100 in words is "one hundred fifty-seven billion, sixty-one million, six hundred sixteen thousand, one hundred".