101415348 has 48 divisors (see below), whose sum is σ = 264096000. Its totient is φ = 33655104.

The previous prime is 101415329. The next prime is 101415359. The reversal of 101415348 is 843514101.

It is a happy number.

It is a super-2 number, since 2×101415348² = 20570145619922208, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 23848 + ... + 27776.

It is an arithmetic number, because the mean of its divisors is an integer number (5502000).

Almost surely, 2^101415348 is an apocalyptic number.

101415348 is a gapful number since it is divisible by the number (18) 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 101415348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132048000).

101415348 is an abundant number, since it is smaller than the sum of its proper divisors (162680652).

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

101415348 is a wasteful number, since it uses less digits than its factorization.

101415348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101415348 is about 10070.5187552578. The cubic root of 101415348 is about 466.3384537981.

Adding to 101415348 its reverse (843514101), we get a palindrome (944929449).

The spelling of 101415348 in words is "one hundred one million, four hundred fifteen thousand, three hundred forty-eight".