101058030 has 160 divisors (see below), whose sum is σ = 296382240. Its totient is φ = 24606720.

The previous prime is 101057993. The next prime is 101058049. The reversal of 101058030 is 30850101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101057994 and 101058012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 564481 + ... + 564659.

It is an arithmetic number, because the mean of its divisors is an integer number (1852389).

Almost surely, 2^101058030 is an apocalyptic number.

101058030 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 101058030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148191120).

101058030 is an abundant number, since it is smaller than the sum of its proper divisors (195324210).

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

101058030 is a wasteful number, since it uses less digits than its factorization.

101058030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101058030 is about 10052.7623069483. The cubic root of 101058030 is about 465.7901238897.

The spelling of 101058030 in words is "one hundred one million, fifty-eight thousand, thirty".