100610948 has 12 divisors (see below), whose sum is σ = 177813132. Its totient is φ = 49807200.

The previous prime is 100610941. The next prime is 100610957. The reversal of 100610948 is 849016001.

It can be written as a sum of positive squares in 2 ways, for example, as 99361024 + 1249924 = 9968^2 + 1118^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100610948.

It is not an unprimeable number, because it can be changed into a prime (100610941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124115 + ... + 124922.

It is an arithmetic number, because the mean of its divisors is an integer number (14817761).

Almost surely, 2^100610948 is an apocalyptic number.

It is an amenable number.

100610948 is a deficient number, since it is larger than the sum of its proper divisors (77202184).

100610948 is a wasteful number, since it uses less digits than its factorization.

100610948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249142 (or 249140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 100610948 is about 10030.5008848013. The cubic root of 100610948 is about 465.1022213316.

Adding to 100610948 its reverse (849016001), we get a palindrome (949626949).

The spelling of 100610948 in words is "one hundred million, six hundred ten thousand, nine hundred forty-eight".