100273950 has 192 divisors, whose sum is σ = 322122240. Its totient is φ = 22744800.

The previous prime is 100273949. The next prime is 100273991. The reversal of 100273950 is 59372001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 765385 + ... + 765515.

It is an arithmetic number, because the mean of its divisors is an integer number (1677720).

Almost surely, 2^100273950 is an apocalyptic number.

100273950 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 100273950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161061120).

100273950 is an abundant number, since it is smaller than the sum of its proper divisors (221848290).

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

100273950 is an equidigital number, since it uses as much as digits as its factorization.

100273950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 100273950 is about 10013.6881317525. The cubic root of 100273950 is about 464.5823513199.

The spelling of 100273950 in words is "one hundred million, two hundred seventy-three thousand, nine hundred fifty".