100661061510 has 96 divisors (see below), whose sum is σ = 268959311712. Its totient is φ = 26101232640.

The previous prime is 100661061463. The next prime is 100661061593. The reversal of 100661061510 is 15160166001.

It is a super-4 number, since 4×100661061510⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5908905 + ... + 5925915.

It is an arithmetic number, because the mean of its divisors is an integer number (2801659497).

Almost surely, 2^100661061510 is an apocalyptic number.

100661061510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100661061510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134479655856).

100661061510 is an abundant number, since it is smaller than the sum of its proper divisors (168298250202).

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

100661061510 is a wasteful number, since it uses less digits than its factorization.

100661061510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18838 (or 18835 counting only the distinct ones).

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

The spelling of 100661061510 in words is "one hundred billion, six hundred sixty-one million, sixty-one thousand, five hundred ten".