101416770 has 288 divisors, whose sum is σ = 347321520. Its totient is φ = 20321280.

The previous prime is 101416769. The next prime is 101416771. The reversal of 101416770 is 77614101.

It is an interprime number because it is at equal distance from previous prime (101416769) and next prime (101416771).

It can be written as a sum of positive squares in 8 ways, for example, as 5239521 + 96177249 = 2289^2 + 9807^2 .

It is a super-2 number, since 2×101416770² = 20570722474465800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101416771) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1662540 + ... + 1662600.

Almost surely, 2^101416770 is an apocalyptic number.

101416770 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 101416770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

101416770 is an abundant number, since it is smaller than the sum of its proper divisors (245904750).

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

101416770 is a wasteful number, since it uses less digits than its factorization.

101416770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

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

The square root of 101416770 is about 10070.5893571330. The cubic root of 101416770 is about 466.3406333834.

The spelling of 101416770 in words is "one hundred one million, four hundred sixteen thousand, seven hundred seventy".