107101764 has 216 divisors, whose sum is σ = 357110208. Its totient is φ = 27293760.

The previous prime is 107101763. The next prime is 107101781. The reversal of 107101764 is 467101701.

It is a super-2 number, since 2×107101764² = 22941575703823392, 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 (107101763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2020762 + ... + 2020814.

It is an arithmetic number, because the mean of its divisors is an integer number (1653288).

Almost surely, 2^107101764 is an apocalyptic number.

107101764 is a gapful number since it is divisible by the number (14) 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 107101764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178555104).

107101764 is an abundant number, since it is smaller than the sum of its proper divisors (250008444).

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

107101764 is an equidigital number, since it uses as much as digits as its factorization.

107101764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

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

The square root of 107101764 is about 10348.9982123875. The cubic root of 107101764 is about 474.8963969799.

The spelling of 107101764 in words is "one hundred seven million, one hundred one thousand, seven hundred sixty-four".