107401761 has 32 divisors (see below), whose sum is σ = 166944000. Its totient is φ = 68148864.

The previous prime is 107401727. The next prime is 107401781. The reversal of 107401761 is 167104701.

It is not a de Polignac number, because 107401761 - 2⁷ = 107401633 is a prime.

It is a super-2 number, since 2×107401761² = 23070276531802242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107401781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56220 + ... + 58098.

It is an arithmetic number, because the mean of its divisors is an integer number (5217000).

Almost surely, 2^107401761 is an apocalyptic number.

It is an amenable number.

107401761 is a deficient number, since it is larger than the sum of its proper divisors (59542239).

107401761 is a wasteful number, since it uses less digits than its factorization.

107401761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 107401761 is about 10363.4820885646. The cubic root of 107401761 is about 475.3393858917.

The spelling of 107401761 in words is "one hundred seven million, four hundred one thousand, seven hundred sixty-one".