35040096100 has 27 divisors (see below), whose sum is σ = 76041070777. Its totient is φ = 14015289680.

The previous prime is 35040096053. The next prime is 35040096101. The reversal of 35040096100 is 169004053.

The square root of 35040096100 is 187190.

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., 12614434596 + 22425661504 = 112314^2 + 149752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35040096101) 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, 1862541 + ... + 1881259.

Almost surely, 2^35040096100 is an apocalyptic number.

35040096100 is the 187190-th square number.

It is an amenable number.

35040096100 is an abundant number, since it is smaller than the sum of its proper divisors (41000974677).

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

35040096100 is an frugal number, since it uses more digits than its factorization.

35040096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37452 (or 18726 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 35040096100 in words is "thirty-five billion, forty million, ninety-six thousand, one hundred".