101029893904 has 45 divisors (see below), whose sum is σ = 197172150357. Its totient is φ = 50149417152.

The previous prime is 101029893799. The next prime is 101029893907. The reversal of 101029893904 is 409398920101.

It is a happy number.

The square root of 101029893904 is 317852.

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

101029893904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 94094335504 + 6935558400 = 306748^2 + 83280^2 .

It is a super-2 number, since 2×101029893904² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101029893907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 291152259 + ... + 291152605.

Almost surely, 2^101029893904 is an apocalyptic number.

101029893904 is the 317852-nd square number.

It is an amenable number.

101029893904 is a deficient number, since it is larger than the sum of its proper divisors (96142256453).

101029893904 is an frugal number, since it uses more digits than its factorization.

101029893904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 101029893904 in words is "one hundred one billion, twenty-nine million, eight hundred ninety-three thousand, nine hundred four".