35190008100 has 405 divisors, whose sum is σ = 122809377327. Its totient is φ = 8428043520.

The previous prime is 35190008059. The next prime is 35190008141. The reversal of 35190008100 is 180009153.

The square root of 35190008100 is 187590.

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

It is an interprime number because it is at equal distance from previous prime (35190008059) and next prime (35190008141).

It can be written as a sum of positive squares in 22 ways, for example, as 28028786724 + 7161221376 = 167418^2 + 84624^2 .

It is a super-2 number, since 2×35190008100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 951081282 + ... + 951081318.

Almost surely, 2^35190008100 is an apocalyptic number.

35190008100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35190008100 is the 187590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35190008100

35190008100 is an abundant number, since it is smaller than the sum of its proper divisors (87619369227).

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

35190008100 is a wasteful number, since it uses less digits than its factorization.

35190008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 35190008100 in words is "thirty-five billion, one hundred ninety million, eight thousand, one hundred".