101976030 has 128 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 23611392.

The previous prime is 101976011. The next prime is 101976067. The reversal of 101976030 is 30679101.

It is a super-2 number, since 2×101976030² = 20798221389121800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101975985 and 101976003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58816 + ... + 60524.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^101976030 is an apocalyptic number.

101976030 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 101976030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

101976030 is an abundant number, since it is smaller than the sum of its proper divisors (208286370).

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

101976030 is a wasteful number, since it uses less digits than its factorization.

101976030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 101976030 is about 10098.3181768055. The cubic root of 101976030 is about 467.1962700598.

The spelling of 101976030 in words is "one hundred one million, nine hundred seventy-six thousand, thirty".