98106768400 has 45 divisors (see below), whose sum is σ = 235716562263. Its totient is φ = 39240201600.

The previous prime is 98106768317. The next prime is 98106768401. The reversal of 98106768400 is 486760189.

The square root of 98106768400 is 313220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26591172624 + 71515595776 = 163068^2 + 267424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98106768401) 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, 6256570 + ... + 6272230.

Almost surely, 2^98106768400 is an apocalyptic number.

98106768400 is the 313220-th square number.

It is an amenable number.

98106768400 is an abundant number, since it is smaller than the sum of its proper divisors (137609793863).

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

98106768400 is an frugal number, since it uses more digits than its factorization.

98106768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31340 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 98106768400 by its sum of digits (49), we get a square (4807231651600 = 2192540²).

The spelling of 98106768400 in words is "ninety-eight billion, one hundred six million, seven hundred sixty-eight thousand, four hundred".