1151640100 has 72 divisors (see below), whose sum is σ = 2698655400. Its totient is φ = 424058880.

The previous prime is 1151640097. The next prime is 1151640143. The reversal of 1151640100 is 10461511.

It can be written as a sum of positive squares in 12 ways, for example, as 621903844 + 529736256 = 24938^2 + 23016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582714 + ... + 584686.

It is an arithmetic number, because the mean of its divisors is an integer number (37481325).

Almost surely, 2^1151640100 is an apocalyptic number.

1151640100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349327700).

1151640100 is an abundant number, since it is smaller than the sum of its proper divisors (1547015300).

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

1151640100 is a wasteful number, since it uses less digits than its factorization.

1151640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1151640100 is about 33935.8232550796. The cubic root of 1151640100 is about 1048.1873790877.

The spelling of 1151640100 in words is "one billion, one hundred fifty-one million, six hundred forty thousand, one hundred".