101348000 has 96 divisors (see below), whose sum is σ = 268304400. Its totient is φ = 37401600.

The previous prime is 101347993. The next prime is 101348047. The reversal of 101348000 is 843101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2226064 + 99121936 = 1492^2 + 9956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101348000.

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, 51026 + ... + 52974.

Almost surely, 2^101348000 is an apocalyptic number.

101348000 is a gapful number since it is divisible by the number (10) 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 101348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134152200).

101348000 is an abundant number, since it is smaller than the sum of its proper divisors (166956400).

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

101348000 is a wasteful number, since it uses less digits than its factorization.

101348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101348000 is about 10067.1743801327. The cubic root of 101348000 is about 466.2352021121.

The spelling of 101348000 in words is "one hundred one million, three hundred forty-eight thousand".