101630760 has 256 divisors, whose sum is σ = 403107840. Its totient is φ = 19845120.

The previous prime is 101630747. The next prime is 101630783. The reversal of 101630760 is 67036101.

It is a super-2 number, since 2×101630760² = 20657622756355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101630760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156757 + ... + 157403.

It is an arithmetic number, because the mean of its divisors is an integer number (1574640).

Almost surely, 2^101630760 is an apocalyptic number.

101630760 is a gapful number since it is divisible by the number (10) 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 101630760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201553920).

101630760 is an abundant number, since it is smaller than the sum of its proper divisors (301477080).

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

101630760 is a wasteful number, since it uses less digits than its factorization.

101630760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 101630760 is about 10081.2082609179. The cubic root of 101630760 is about 466.6683968190.

Adding to 101630760 its reverse (67036101), we get a palindrome (168666861).

The spelling of 101630760 in words is "one hundred one million, six hundred thirty thousand, seven hundred sixty".